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Finding the Fourth Proportional to 9,398.87, 12,970.31 and 5,149.91

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Solution

The fourth proportional to 9,398.87, 12,970.31 and 5,149.91 is: 7,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.87 : 12,970.31 = 5,149.91 : x
  2. Step 2: Convert to fraction form
    9,398.87/12,970.31 = 5,149.91/x
  3. Step 3: Cross multiply
    9,398.87x = 12,970.31 × 5,149.91
  4. Step 4: Simplify right side
    9,398.87x = 66,795,838.57
  5. Step 5: Solve for x
    x = 66,795,838.57/9,398.87
  6. Step 6: Final answer
    x = 7,106.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.